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Simplifying -5m + 34 + -5(m + -1) = 9m + -1(6m + -8) + -7m + 7 Reorder the terms: -5m + 34 + -5(-1 + m) = 9m + -1(6m + -8) + -7m + 7 -5m + 34 + (-1 * -5 + m * -5) = 9m + -1(6m + -8) + -7m + 7 -5m + 34 + (5 + -5m) = 9m + -1(6m + -8) + -7m + 7 Reorder the terms: 34 + 5 + -5m + -5m = 9m + -1(6m + -8) + -7m + 7 Combine like terms: 34 + 5 = 39 39 + -5m + -5m = 9m + -1(6m + -8) + -7m + 7 Combine like terms: -5m + -5m = -10m 39 + -10m = 9m + -1(6m + -8) + -7m + 7 Reorder the terms: 39 + -10m = 9m + -1(-8 + 6m) + -7m + 7 39 + -10m = 9m + (-8 * -1 + 6m * -1) + -7m + 7 39 + -10m = 9m + (8 + -6m) + -7m + 7 Reorder the terms: 39 + -10m = 8 + 7 + 9m + -6m + -7m Combine like terms: 8 + 7 = 15 39 + -10m = 15 + 9m + -6m + -7m Combine like terms: 9m + -6m = 3m 39 + -10m = 15 + 3m + -7m Combine like terms: 3m + -7m = -4m 39 + -10m = 15 + -4m Solving 39 + -10m = 15 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 39 + -10m + 4m = 15 + -4m + 4m Combine like terms: -10m + 4m = -6m 39 + -6m = 15 + -4m + 4m Combine like terms: -4m + 4m = 0 39 + -6m = 15 + 0 39 + -6m = 15 Add '-39' to each side of the equation. 39 + -39 + -6m = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -6m = 15 + -39 -6m = 15 + -39 Combine like terms: 15 + -39 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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